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Controllability and stability of matrix difference systems

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2 Author(s)
Spyros Andreou ; Department of Engineering Technology, Savannah State University, Post Office Box 20089, GA 31404, USA ; Kanuri N. Murty

This work deals with a discrete-time control system having the form of X (n + 1) = AX (n)B. We study the effects of the matrix B. We find the general solution X (n) by solving the difference equation. Then we tackle the two important issues of controllability and stability. We found out that with the A matrix having eigenvalues outside the unit disk, we may select matrix B such that the final solution is stable and more importantly asymptotically stable. Proven theorems along with examples are presented.

Published in:

IEEE Southeastcon 2009

Date of Conference:

5-8 March 2009